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Example 1.11The sum of the digits of a given two digit number is 5. If the digitsenare reversed, the new number is reduced by 27. Find the given number.

Answer»

Suppose number is 10x + y so x + y = 5 Now digits are reversed so new number is 10y + x 10y + x = 10x + y - 27 9y - 9x = -27 x - y = 3 x + y + x - y = 5 + 3 2x = 8 x = 4 y = 1 Original number 10*4 + 1 = 41

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